Remediability problem in linear time-varying systems with disturbances

Chadi  Amisssi; El Mostafa Magri; Mustapha Lhous; Larbi Afifi

doi:10.5269/bspm.76256

Chadi Amisssi
El Mostafa Magri Fundamental and Applied Mathematics Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca.
Mustapha Lhous
Larbi Afifi

Abstract

In this work, a class of time-varying linear perturbed systems in finite dimensions are considered. Examining the compensation problem for linear time-varying disturbed systems is the main goal of this paper. The primary objective of remediability or compensation is to reject the effects of disturbances on the system. We present the characterisation results of remediability, and we demonstrate that a specific rank condition provides a sufficient criterion to ensure the remediability of our system. For the analytical case, remediability is described. The relationship between controllability and remediability is also given, and various situations are examined for different examples.

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